conversations
list |
|---|
[
{
"value": "Question: If x is an even integer, which of the following is an even integer?\\nOptions:\\n(A) 3x-3\\n(B) x+x^2\\n(C) 5x-3\\n(D) 2x+1\\n(E) 9x-5 Random thoughts:",
"from": "human"
},
{
"value": "Plug in an even integer; in this case 2\\n(3*2)-3 = 6-3 = 3 Odd\\n2+2^2 = 6 Even\\n(5*2)-3 = 10 - 3 = 7 Odd\\n(2*2)+1 = 4 + 1 = 5 Odd\\n(9*2)-5 = 18 - 5 = 13 Odd The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: Maximum no of unsuccessful attempts, a thief can do in order to break a number locking system of 4 digits.\\nOptions:\\n(A) 9988\\n(B) 9999\\n(C) 9799\\n(D) 9685\\n(E) 6545.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "From 0 to 9999 there are 10000 four digit numbers\\nSo maximum number of unsuccessful attempts = 10000 - 1 = 9999 Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\\nOptions:\\n(A) 2234\\n(B) 4350\\n(C) 4560\\n(D) 5132\\n(E) y=5184",
"from": "human"
},
{
"value": "Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184\\n432 12 x 62\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Guna has 8 flavors of ice cream in him parlor. How many options are there for Thilak to pick a one-flavor, two-flavor, three-flavor, four-flavor, five-flavor, six-flavor,seven-flavor or eight-flavor order?\\nOptions:\\n(A) 223\\n(B) 395\\n(C) 448\\n(D) 774\\n(E) 835",
"from": "human"
},
{
"value": "8C1 + 8C2+ 8C3+8C4+8C5+8C6+8C7+8C8 = 395.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: In how many different ways can the letters of the word \"AIM\" be rearrangement?\\nOptions:\\n(A) 4\\n(B) 2\\n(C) 7\\n(D) 9\\n(E) 6 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Option 'E'\\nThe total number of arrangements is\\n3P3 = 3! = 6\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\\nOptions:\\n(A) 48 kmph\\n(B) 52 kmph\\n(C) 108 kmph\\n(D) 100 kmph\\n(E) 98 kmph Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "S = 180/6 * 18/5 = 108 kmph So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. For some integer y, y^2 - 5 is divisible by all of the following EXCEPT\\nOptions:\\n(A) 29\\n(B) 30\\n(C) 31\\n(D) 38\\n(E) 41",
"from": "human"
},
{
"value": "Hint: y^2-5 (y is an integer) is never multiple of 3 (try to prove this), hence 30 is out.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "What will come in place of the x in the following Number series? 46080, 3840, 384, x\\nOptions:\\n(A) 48\\n(B) 3\\n(C) 4\\n(D) 5\\n(E) 6 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "46080 /12 = 3840\\n3840 /10 = 384\\n384 /8 = 48 So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A woman begins bicycling with a pace of 10 kmph and she increases her pace every two hours by 2 kmph. She rests from bicycling 2 hours after her pace reaches her maximum speed of 14 kmph. She does a cool-down for the final 8 km at a pace of 2 kmph. How far in km did she bicycle?\\nOptions:\\n(A) 96 km\\n(B) 100 km\\n(C) 106 km\\n(D) 116 km\\n(E) 126 km\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Distance covered in first two hours = 10 × 2 = 20 km\\nDistance covered in next two hours = 12 × 2 = 24 km\\nDistance covered in next two hours = 14 × 2 = 48 km\\nDistance covered in first six hours\\n20 + 24 + 48 = 92 km\\nRemaining distance = 8 km\\n92 + 8 = 100 km The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 85. How many points altogether did the team score?\\nOptions:\\n(A) 662\\n(B) 672\\n(C) 652\\n(D) 642\\n(E) 670 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "8 * 85 = 680 – 10 = 670\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: What percent is 120 of 90?\\nOptions:\\n(A) 133 1/3 %\\n(B) 134 1/3 %\\n(C) 135 1/3 %\\n(D) 140 1/3 %\\n(E) 143 1/3 % Random thoughts:",
"from": "human"
},
{
"value": "120/90 = 4/3\\n4/3 × 100 = 400/3 = 133 1/3 % The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Q is a set of nine distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 4\\n(D) 5\\n(E) 7 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "2 + 3 + 5 + 7 +11 + 13 + 17 + 23 + 29 = 100 ( sum is even)\\nLeast number = 2\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Find the simple interest on Rs.500 for 9 months at 6 paisa per month?\\nOptions:\\n(A) 277\\n(B) 270\\n(C) 288\\n(D) 266\\n(E) 121 Stream of consciousness:",
"from": "human"
},
{
"value": "I = (500*9*6)/100 = 270\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The smallest prime number is:\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 3\\n(D) 4\\n(E) 5",
"from": "human"
},
{
"value": "The smallest prime number is 2.\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "How much 80% of 40 is greater than 10% of 15?\\nOptions:\\n(A) 18\\n(B) 99\\n(C) 19\\n(D) 18\\n(E) 17 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "(80/100) * 40 – (10/100) * 15\\n32 - 15 = 17\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The average of seven numbers is 26. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?\\nOptions:\\n(A) 25\\n(B) 83\\n(C) 29\\n(D) 32\\n(E) 34",
"from": "human"
},
{
"value": "The total of seven numbers = 7X26 = 182\\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\\nSo, the middle number is (182 - 99 ) = 83\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "The speed of a boat in still water is 60kmph and the speed of the current is 10kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) 40, 68 kmph\\n(B) 70, 50 kmph\\n(C) 90, 60 kmph\\n(D) 40, 60 kmph\\n(E) 20, 60 kmph Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Speed downstream = 60 + 10 = 70 kmph\\nSpeed upstream = 60 - 10 = 50 kmph\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "150 is increased by 40%. Find the final number.\\nOptions:\\n(A) 200\\n(B) 210\\n(C) 180\\n(D) 190\\n(E) 220 Stream of consciousness:",
"from": "human"
},
{
"value": "Final number = Initial number + 40%(original number) = 150 + 40%(150) = 150 + 60 = 210.\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for five years?\\nOptions:\\n(A) 31500\\n(B) 27773\\n(C) 29989\\n(D) 28800\\n(E) 29883 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Simple interest = (18000 * 5 * 15)/100 = Rs. 13500\\nAmount = P + I = 18000 + 13500 = Rs. 31500 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?\\nOptions:\\n(A) 22 yrs\\n(B) 34 yrs\\n(C) 27 yrs\\n(D) 28 yrs\\n(E) 19 yrs Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Total age of players in team = 22 x 11 = 242\\nWhen coach is included, total members = 12, Avg age increases by one becomes 23\\nTotal age when coach is included = 23x12 = 276\\nAge of coach = 276-242 = 34 yrs. The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "At what rate percent on simple interest will a sum of money double itself in 30 years?\\nOptions:\\n(A) 3 1/9%\\n(B) 3 7/3%\\n(C) 7 1/3%\\n(D) 5 1/3%\\n(E) 1 1/3% Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "P = (P*30*R)/100\\nR = 3 1/3%\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A train running at the speed of 90 km/hr crosses a pole in 10 seconds. Find the length of the train.\\nOptions:\\n(A) 150\\n(B) 180\\n(C) 250\\n(D) 200\\n(E) 225 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Speed = 90*(5/18) m/sec = 25 m/sec\\nLength of Train (Distance) = Speed * Time\\n25 *10 = 250 meter\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: An equity analyst needs to select 5 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 10, in how many ways can she choose and rank her top 5 picks?\\nOptions:\\n(A) 21548\\n(B) 31502\\n(C) 21250\\n(D) 30240\\n(E) 84045 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Number of ways of choosing 5 stocks = 10C5\\nNumber of ways of ranking the chosen stocks = 5!\\nHence total ways of chosing and ranking = 10C5 * 5! = 30240 The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?\\nOptions:\\n(A) Rs.8082\\n(B) Rs.7800\\n(C) Rs.8100\\n(D) Rs.8112\\n(E) none of these",
"from": "human"
},
{
"value": "A = 7500(26/25)2 = 8112\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Two trains are moving at 75 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\\nOptions:\\n(A) 6 6/29 sec\\n(B) 7 1/7 sec\\n(C) 7 2/2 sec\\n(D) 8 1/2 sec\\n(E) 7 1/19 sec Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "70 + 75 = 145 * 5/18 = 725/18 mps\\nD = 150 + 100 = 250 m\\nT = 250 * 18/725 = 180/29 = 6 6/29 sec\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: What is the sum of all the prime numbers greater than 30 but less than 50?\\nOptions:\\n(A) 126\\n(B) 199\\n(C) 198\\n(D) 188\\n(E) 122.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Required sum = (31 + 37 + 41 + 43 + 47) = 199\\nNote: 1 is not a prime number Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: At a meeting of the 9 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 9 Chiefs of Staff be seated around a circular table?\\nOptions:\\n(A) 120\\n(B) 480\\n(C) 960\\n(D) 2520\\n(E) 6050\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer E (6050), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect? The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?\\nOptions:\\n(A) 3\\n(B) 5\\n(C) 6\\n(D) 7\\n(E) 9 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Work done by X in 1 day = 1/18\\nWork done by Y in 1 day = 1/15\\nWork done by Y in 10 days = 10/15 = 2/3\\nRemaining work = 1 – 2/3 = 1/3\\nNumber of days in which X can finish the remaining work = (1/3) / (1/18) = 6\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 25 miles behind the slower one. How far apart are the two trains at 5 o'clock?\\nOptions:\\n(A) 60 miles\\n(B) 80 miles\\n(C) 90 miles\\n(D) 65 miles\\n(E) 400 miles",
"from": "human"
},
{
"value": "Answer = D. 65 miles\\nRelational speed = 130 - 100 = 30 miles per hour\\nIn 3 hours, difference = 30 * 3 = 90 miles\\nFast train trailing 25 miles, so effective difference = 90 - 25 = 65 miles\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: A shipment of 8 TV sets contains 6 black and white sets and 2 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?\\nOptions:\\n(A) 1/7\\n(B) 1/4\\n(C) 5/14\\n(D) 11/28\\n(E) 27/28 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "2/8 * 1/7 = 2/56\\n1-(2/56) = 54/56 = 27/28\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A man walks at a speed of 3 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 12 km, if he completes half of the distance, i.e., (6) km on foot and the other half by running?\\nOptions:\\n(A) 2.6\\n(B) 2.2\\n(C) 2.5\\n(D) 2\\n(E) 3 Stream of consciousness:",
"from": "human"
},
{
"value": "Required time = (6)/3 + (6)/6 = 3 hours.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "From among the 39 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?\\nOptions:\\n(A) 1360\\n(B) 1260\\n(C) 1060\\n(D) 1482\\n(E) 1460 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "There are 39 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 39 ways. When one person is appointed as leader, we are left with 35 students. Out of these 38 teachers, we can select one class representative. So, a class representative can be selected in 38 ways. Hence, the number of ways in which a leader and class representative can be selected = 39 x 38 = 1482\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "In how many different ways can the letters of the word ‘CASES’ be arranged?\\nOptions:\\n(A) 250\\n(B) 280\\n(C) 60\\n(D) 310\\n(E) 360 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Number of ways = 5!/2! = 5X4X3X2X1/2X1 = 60\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "The average of ten numbers is 210. The average of first five numbers is 40 and the average of last four numbers is 200. What is the middle number?\\nOptions:\\n(A) A) 200\\n(B) B) 2000\\n(C) C) 800\\n(D) D) 2100\\n(E) E) 1100 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "The total of ten numbers = 10X210 = 2100\\nThe total of first 5 and last 4 numbers is = 5 X 40+4 X 200 = 1000\\nSo, the middle number is (2100 - 1000 ) = 1100 So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: The floor of a rectangular room is 18 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :\\nOptions:\\n(A) 124 m2\\n(B) 126 m2\\n(C) 136 m2\\n(D) 158 m2\\n(E) None of these.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Area of the outer rectangle = 22 × 16 = 352 m2\\nArea of the inner rectangle = 18 × 12 = 216 m2\\nRequired area = (352 – 216) = 136 m2 Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 10 as remainder. Find the no. is?\\nOptions:\\n(A) 220010\\n(B) 145778\\n(C) 220110\\n(D) 235467\\n(E) 220001",
"from": "human"
},
{
"value": "(555 + 445) * 2 * 110 + 10 = 220000 + 10 = 220010\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "If n is an integer, then the least possible value of |8 - 9n| is?\\nOptions:\\n(A) 0\\n(B) 1\\n(C) 2\\n(D) 3\\n(E) 11 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "|8 - 9n| represents the distance between 8 and 9n on the number line. Now, the distance will be minimized when 9n, which is multiple of 9, is closest to 8. Multiple of 9 which is closest to 8 is 9 (for n = 1), so the least distance is 1: |8 - 9| = 1. So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 24 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?\\nOptions:\\n(A) 61.25\\n(B) 62.5\\n(C) 63.75\\n(D) 70.0\\n(E) 77.5 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Rate of flow of water in second hour = 24 gallons per hour\\nRate of flow of water in first hour = 24/(3/2) = 16 gallons per hour\\nRate of flow of water in third hour = (125/100)* 24 = (5/4) * 24 = 30 gallons per hour\\nNumber of gallons of water that flowed through the pipe during the entire 3 hours = 16+24+30 = 70 gallons\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?\\nLook at this series: 95, 10, 75, 20, 55, ... What number should come next?\\nOptions:\\n(A) 35\\n(B) 40\\n(C) 30\\n(D) 25\\n(E) 90 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "C\\n30\\nThis is an alternating addition and subtraction series. In the first pattern, 20 is subtracted from each number to arrive at the next. In the second, 10 is added to each number to arrive at the next. So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "How much 60% of 50 is greater than 40% of 30?\\nOptions:\\n(A) 18\\n(B) 28\\n(C) 29\\n(D) 11\\n(E) 12 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "(60/100) * 50 – (40/100) * 30\\n30 - 12 = 18 So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?\\nOptions:\\n(A) 7/98\\n(B) 1/48\\n(C) 1/98\\n(D) 1/96\\n(E) 1/68",
"from": "human"
},
{
"value": "2/7 * 6/7 * 1/3 * 1/8 = 1/98\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?\\nOptions:\\n(A) 4500 M3\\n(B) 27000 M3\\n(C) 3000 M3\\n(D) 2700 M3\\n(E) 3700 M3 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "(3000 * 2 * 5)/60 = 4500 M3 So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: How many terminating zeroes Q does 200! have?\\nOptions:\\n(A) 40\\n(B) 48\\n(C) 49\\n(D) 55\\n(E) 64 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros.\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.9880. Find the share of A?\\nOptions:\\n(A) 3002\\n(B) 3000\\n(C) 3018\\n(D) 3019\\n(E) 4000 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "60*5:36*6:75*3\\n100: 72: 75\\n100/247 * 9880 = 4000\nSo, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "In what time a sum of money double itself at 3% per annum simple interest?\\nOptions:\\n(A) 33 1/7%\\n(B) 33 1/3%\\n(C) 33 1/2%\\n(D) 33 7/3%\\n(E) 33 5/3% OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "P = (P*3*R)/100\\nR = 33 1/3% The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. How much time will it take for an amount of 500 to yield 100 as interest at 5% per annum of simple interest?\\nOptions:\\n(A) 3 year\\n(B) 4 year\\n(C) 6 year\\n(D) 5 year\\n(E) 7 year",
"from": "human"
},
{
"value": "Time = (100 x 100)/(500 x 5) years = 4 years.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Elena’s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?\\nOptions:\\n(A) 1\\n(B) 4\\n(C) 9\\n(D) 13\\n(E) 16\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Number of cups flour needed for 3 ounces of butter = 4\\nNumber of cups flour needed for 1 ounce of butter = 4/3\\nNumber of cups flour needed for 12 ounces of butter = 4/3 * 12 = 16 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Right triangle ABC is the base of the prism in the figure above. If AB=AC=√2 and the height of the prism is 3, what is the volume of the prism?\\nOptions:\\n(A) 1\\n(B) 3/2\\n(C) 2\\n(D) 3\\n(E) 6 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Volume of prism = Area of base * height = 1/2* (square root of 2) * (square root of 2)*3 = 3\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The probability is 1/2 that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?\\nOptions:\\n(A) 1/8\\n(B) 1/2\\n(C) 3/4\\n(D) 7/8\\n(E) 15/16",
"from": "human"
},
{
"value": "P(at last 1 tails) = 1 - P(all heads) = 1 - (1/2)^3 = 7/8.\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "There are 7 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?\\nOptions:\\n(A) 90\\n(B) 120\\n(C) 315\\n(D) 180\\n(E) 200 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Number of ways of selecting 2 fiction books = 7C2\\nNumber of ways of selecting 2 non fiction books = 6C2\\n7C2 * 6C2 = 21 * 15 = 315\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?\\nOptions:\\n(A) 17\\n(B) 16\\n(C) 17\\n(D) 19\\n(E) 62",
"from": "human"
},
{
"value": "Average of 20 numbers = 0\\nSum of 20 numbers = (0 * 20) = 0\\nIt is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a).\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\\nOptions:\\n(A) 4 min\\n(B) 6 min\\n(C) 8 min\\n(D) 2 min\\n(E) 9 min Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "S = 600/40 = 15 mps\\nS = 3600/15 = 240 sec = 4 min So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is\\nOptions:\\n(A) 5/18\\n(B) 5/12\\n(C) 5/19\\n(D) 5/15\\n(E) 5/11 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Using question number 11 and 12, we get the probability as\\n1 - (1/36 + 5/9) = 5/12 So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Find the odd man out\\n253, 136, 352, 329, 631, 244\\nOptions:\\n(A) 329\\n(B) 136\\n(C) 352\\n(D) 631\\n(E) 531 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "The sum all three digits comes to 10 except 329 So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?\\nOptions:\\n(A) 12 days\\n(B) 15 days\\n(C) 18 days\\n(D) 20 days\\n(E) 22 days Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "A’s two day’s work = 2/20 = 1/10\\n(A + B + C)’s one day’s work = 1/20 + 1/30 + 1/60 = 6/60 = 1/10\\nWork done in 3 days = (1/10 + 1/10) = 1/5\\nNow, 1/5 work is done in 3 days\\nTherefore, Whole work will be done in (3 x 5) = 15 days. So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "If f(x) = x^3/(x^4 - 1), what is f(1/x) in terms of f(x)?\\nOptions:\\n(A) -f(x) \\n(B) f(x) \\n(C) 2*f(x) \\n(D) 1/f(x) \\n(E) 2/f(x) Stream of consciousness:",
"from": "human"
},
{
"value": "If x = 2 then f(x) = 8/15 and f(1/x) = -8/15 which is equal to -f(x)\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) kmph\\n(B) kmph\\n(C) kmph\\n(D) kmph\\n(E) kmph\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Speed downstream = 70 + 20 = 90 kmph\\nSpeed upstream = 70 - 20 = 50 kmph The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: Grace has 17 jellybeans in her pocket. She has 9 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?\\nOptions:\\n(A) 4\\n(B) 8\\n(C) 12\\n(D) 14\\n(E) 16 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "The worst scenario is when she takes 9 red and 4 green, total of 13 jellybeans, and still doesn't have 3 distinct colors. But the next draw (14th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A number lock on a suitcase has 3 wheels each labelled with 10 digits from 0 to 9. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?\\nOptions:\\n(A) 720\\n(B) 760\\n(C) 680\\n(D) 780\\n(E) 880 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "On first wheel there can be 10 digits. On the second wheel there will be one of the 9 digits and on the third wheel there will be 8 digits. Therefore, the number of numbers is\\n10 x 9 x 8 = 720 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "In a jar there are 3 golf balls and 2 ping pong balls. What is the probability of drawing at least one golf ball when drawing two consecutive balls randomly?\\nOptions:\\n(A) 1/4\\n(B) 1/2\\n(C) 3/5\\n(D) 9/10\\n(E) 16/20 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "P(at least one gold ball) = 1 - P(no golf ball, so 2 ping pong balls) = 1- 2/5*1/4 = 9/10.\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 4\\n(D) 5\\n(E) 0 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "A number ending with 2 can never be a perfect squar So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Which one of the following is not a prime number?\\nOptions:\\n(A) 31\\n(B) 61\\n(C) 71\\n(D) 73\\n(E) 91\nSome stream of consciousness:",
"from": "human"
},
{
"value": "91 is divisible by 7. So, it is not a prime number. The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?\\nOptions:\\n(A) 4!*2!\\n(B) 7!*2!\\n(C) 6!*1!\\n(D) 2!*1!\\n(E) 5!*1!",
"from": "human"
},
{
"value": "Total number of ways = 7!*2!.\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "What approximate value should come in place of question mark (?) in the following equation\\n287.532 + 1894.029 – 657.48 = 743.095 + ?\\nOptions:\\n(A) 870\\n(B) 790\\n(C) 780\\n(D) 770\\n(E) 890 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "? = 285 + 1895 – 655 – 745 or, ? = 780\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Two trains are moving at 90 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\\nOptions:\\n(A) 42/5 sec\\n(B) 45/8 sec\\n(C) 40/6 sec\\n(D) 37/6 sec\\n(E) 42/4 sec",
"from": "human"
},
{
"value": "70 + 90 = 150 * 5/18 = 400/9 mps\\nD = 150 + 100 = 250 m\\nT = 250 * 9/400 = 45/8 sec\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "The H.C.F. of two numbers is 12 and their L.C.M. is 520. If one of the numbers is 480, then the other is:\\nOptions:\\n(A) 13\\n(B) 18\\n(C) 21\\n(D) 24\\n(E) 38 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Other number = (12 x 520)/480 = 13.\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The edge of a cube is 2a cm. Find its surface?\\nOptions:\\n(A) 24a8\\n(B) 24a4\\n(C) 24a1\\n(D) 24a2\\n(E) 24a7",
"from": "human"
},
{
"value": "6a2 = 6 * 2a * 2a = 24a2 So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Find the simple interest on Rs.580 for 11 months at 9 paisa per month?\\nOptions:\\n(A) 574\\n(B) 270\\n(C) 566\\n(D) 266\\n(E) 121",
"from": "human"
},
{
"value": "I = (580*11*9)/100 = 574\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Find a a prime number from the options below.\\nOptions:\\n(A) 37\\n(B) 38\\n(C) 39\\n(D) 40\\n(E) 42 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Clearly, 37 is a prime number. So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The average length of the sides of triangle ABC is 12. What is the perimeter of triangle ABC?\\nOptions:\\n(A) 4\\n(B) 6\\n(C) 12\\n(D) 24\\n(E) 36 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "(average) = (perimeter)/3;\\n12 = (perimeter)/3;\\n(perimeter) = 36. So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A train 500 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\\nOptions:\\n(A) 32\\n(B) 28\\n(C) 49\\n(D) 64\\n(E) 21",
"from": "human"
},
{
"value": "S = (500 + 300)/45 = 800/45 * 18/5 = 64\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "There are different 20 circles. What is the number of the greatest possible points with which the circles intersect?\\nOptions:\\n(A) 380\\n(B) 200\\n(C) 110\\n(D) 180\\n(E) 200 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Maximum points of intersection between n different circles = n*(n - 1) = 20*19 = 380 So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A pharmaceutical company received $4 million in royalties on the first $50 million in sales of and then $12 million in royalties on the next $170 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $50 million in sales to the next $170 million in sales?\\nOptions:\\n(A) 12%\\n(B) 15%\\n(C) 45%\\n(D) 52%\\n(E) 56%",
"from": "human"
},
{
"value": "(12/170)/(4/50) = 15/17 = 88% it means that 12/170 represents only 88%. Therefore a decrease of 12%. So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 3\\n(D) 4\\n(E) 5 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Answer: A. There is exactly one. The prime factorization of 14 is 14 = 2*7, so N = 2*7*p = 7*2*p = 7*2p, so 2p is the only even number that divides N. The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 20% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 10% more than the number there from 10 a.m. to 11 a.m. If 242 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\\nOptions:\\n(A) 100\\n(B) 20\\n(C) 30\\n(D) 40\\n(E) 50.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "No of people from 10 - 11 is x\\nNo of people from 11 - 12 is 11x/10\\nNo of people from 12 to 1 is (6/5)(11x/10)\\nGiven that 11x/10 + (6/5)(11x/10) = 121x / 50 = 242\\nThen x = 100 Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\\nOptions:\\n(A) 1:2\\n(B) 1:5\\n(C) 1:3\\n(D) 1:1\\n(E) 1:7",
"from": "human"
},
{
"value": "T = 192/32 = 6 h\\nT = 6 - 3 = 3\\nTime Ratio = 6:3 = 2:1\\nSpeed Ratio = 1:2 So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: In what time a sum of money double itself at 3% per annum simple interest?\\nOptions:\\n(A) 36 1/3%\\n(B) 33 1/3%\\n(C) 33 1/6%\\n(D) 63 1/3%\\n(E) 23 1/3% Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "P = (P*3*R)/100\\nR = 33 1/3%\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. If x is a positive odd integer and y is a negative even integer, which of the following must be true?\\nOptions:\\n(A) x^3 + y is a positive odd integer\\n(B) x^2 + y^2 is a negative odd integer\\n(C) x^0 + y^11 is a negative odd integer\\n(D) x + y is a positive odd integer\\n(E) x + y is a negative odd integer",
"from": "human"
},
{
"value": "Anything power 0 is always 1 and given that Y is even and negative, then\\n1 + (-2) will be negative with odd power values for Y. So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land once on heads and twice tails?\\nOptions:\\n(A) 1/3\\n(B) 1/6\\n(C) 1/4\\n(D) 1/8\\n(E) 1/5\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Must be once on heads and twice on tails\\n1/2*1/2*1/2 = 1/8 The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. If it costs d dollars to make the first 100 copies of a poster and e dollars for each poster after that, what is the total cost of 125 posters?\\nOptions:\\n(A) 25d + 100e\\n(B) 100d + 25e\\n(C) 125de\\n(D) d + 25e\\n(E) 125/(de) ",
"from": "human"
},
{
"value": "Dollars needed for first 100 copies = d\\nDollars needed for each successive copy = e\\nCost of 125 copies = cost of 100 copies + cost of 25 copies = d + 25e So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Calculate the largest 4 digit number which is exactly divisible by 98?\\nOptions:\\n(A) 9800\\n(B) 9898\\n(C) 9702\\n(D) 9604\\n(E) 9996\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Largest 4 digit number is 9999\\nAfter doing 9999 ÷ 98 we get remainder 3\\nHence largest 4 digit number exactly divisible by 98 = 9999 - 3 = 9996 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "A 600 meter long train crosses a signal post in 20 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\\nOptions:\\n(A) 4 min\\n(B) 2 min\\n(C) 8 min\\n(D) 9 min\\n(E) 5 min Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "S = 600/20 = 1530 mps\\nS = 3600/30 = 120 sec = 2 min\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 50 mph to reach his destination. How many miles did John drive?\\nOptions:\\n(A) 235 miles.\\n(B) 245 miles.\\n(C) 240 miles.\\n(D) 265 miles.\\n(E) 275 miles. Stream of consciousness:",
"from": "human"
},
{
"value": "The total distance D traveled by John is given by\\nD = 45 * 2 + 3 * 50 = 240 miles.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: If 10 litres of an oil of Rs.54 per litres be mixed with 5 litres of another oil of Rs.66 per litre then what is the rate of mixed oil per litre?\\nOptions:\\n(A) Rs.49.17\\n(B) Rs.58\\n(C) Rs.54.17\\n(D) Rs.55.33\\n(E) None of the above\nSome stream of consciousness:",
"from": "human"
},
{
"value": "54*10 = 540\\n66*5 = 330\\n870/15 = 58 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 25% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 135 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\\nOptions:\\n(A) 10\\n(B) 20\\n(C) 30\\n(D) 40\\n(E) 80\nSome stream of consciousness:",
"from": "human"
},
{
"value": "No of people from 10 - 11 is x\\nNo of people from 11 - 12 is 3x/4\\nNo of people from 12 to 1 is (5/4)(3x/4)\\nGiven that 3x/4 + (5/4)(3x/4) = 27x/16 = 135\\nThen x = 80 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "How many ways someone can make with 8 shirts and 6 pants?\\nOptions:\\n(A) 50\\n(B) 45\\n(C) 55\\n(D) 52\\n(E) 48 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "If you can only wear one shirt and one pair of pants, then you can make 8*6 = 48 combinations.\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "CMM, EOO, GQQ, _____, KUU\\nOptions:\\n(A) MSQ\\n(B) IPS\\n(C) IIS\\n(D) ISS\\n(E) POL Stream of consciousness:",
"from": "human"
},
{
"value": "The first letters are in alphabetical order with a letter skipped in between each segment: C, E, G, I, K. The second and third letters are repeated; they are also in order with a skipped letter: M, O, Q, S, U.\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?\\nOptions:\\n(A) 22 1/8 days\\n(B) 22 1/2 days\\n(C) 22 6/2 days\\n(D) 72 1/2 days\\n(E) 23 1/2 days Stream of consciousness:",
"from": "human"
},
{
"value": "1/18 + 1/30 = 8/90 = 4/45\\n45/4 = 11 1/4 *2 = 22 1/2 days\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?\\nOptions:\\n(A) 85 m\\n(B) 70 m\\n(C) 115 m\\n(D) 50 m\\n(E) 150 m Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Speed = 60 * 5/18 = 50/3 m/sec\\nLength of the train = speed * time = 50/3 * 3 = 50 m So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "In a jar there are 3 red gumballs and 2 blue gumballs. What is the probability of drawing at least one red gumball when drawing two consecutive balls randomly?\\nOptions:\\n(A) 2/5\\n(B) 16/20\\n(C) 9/10\\n(D) 3/5\\n(E) 1/3 Stream of consciousness:",
"from": "human"
},
{
"value": "P(at least one red) = 1 - P(no red, so 2 blue) = 1- 2/5*1/4 = 9/10.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?\\nOptions:\\n(A) 56\\n(B) 78\\n(C) 27\\n(D) 79\\n(E) 50 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Speed = 60 * 5/18 = 50/3 m/sec\\nLength of the train = speed * time = 50/3 * 3 = 50 m The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. An analyst will recommend a combination of 4 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 8 stocks are possible?\\n--\\nOptions:\\n(A) 12\\n(B) 19\\n(C) 90\\n(D) 180\\n(E) 720",
"from": "human"
},
{
"value": "5C4 * 4C2 * 3C2 = 5*6*3 = 90. So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:\\nOptions:\\n(A) Rs. 3100\\n(B) Rs. 6240\\n(C) Rs. 6500\\n(D) Rs. 9600\\n(E) Rs. 8600.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "To get Rs. 10, Investment is 96\\nTo get Rs. 650, investment is (96/10)*650 = 6240 Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "The speed of a boat in still water is 80kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) 22 kmph\\n(B) 40 kmph\\n(C) 60 kmph\\n(D) 15 kmph\\n(E) 23 kmph Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Speed downstream = 80 + 20 = 100 kmph\\nSpeed upstream = 80 - 20 = 60 kmph So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: An design manager has 10patterns of chairs & 7patterns of tables. In how many ways can he make a pair of table & chair?\\nOptions:\\n(A) 70\\n(B) 40\\n(C) 80\\n(D) 90\\n(E) 100 Random thoughts:",
"from": "human"
},
{
"value": "He has has ten patterns of chairs and eight patterns of tables\\nHence, A chair can be arranged in 10 ways and\\nA table can be arranged in 7 ways\\nHence one chair and one table can be arranged in 10 x 7 ways = 70 ways The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 36 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?\\nOptions:\\n(A) 106.25\\n(B) 105.5\\n(C) 105.75\\n(D) 106\\n(E) 105.0",
"from": "human"
},
{
"value": "Rate of flow of water in second hour = 36 gallons per hour\\nRate of flow of water in first hour = 36/(3/2) = 24 gallons per hour\\nRate of flow of water in third hour = (125/100)* 36 = (5/4) * 36 = 45 gallons per hour\\nNumber of gallons of water that flowed through the pipe during the entire 3 hours = 24+36+45 = 105 gallons\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.165. Find the unknown rate of two towels?\\nOptions:\\n(A) A) 400\\n(B) B) 450\\n(C) C) 500\\n(D) D) 550\\n(E) E) 600 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "10 * 150 = 1650\\n3 * 100 + 5 * 150 = 1050\\n1650 – 1050 = 600\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 22 inches, how many inches of framing material does the carpenter need to frame the painting?\\nOptions:\\n(A) 12\\n(B) 22 1/2\\n(C) 37 1/2\\n(D) 50\\n(E) 28 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "(22/2) ( 2+3) * 2 = 28 =\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: Find the area of a parallelogram with base 24 cm and height 16 cm.\\nOptions:\\n(A) 384 cm^2\\n(B) 200 cm^2\\n(C) 250 cm^2\\n(D) 350 cm^2\\n(E) 400 cm^2 Random thoughts:",
"from": "human"
},
{
"value": "Area of a parallelogram = base * height = 24 * 16 = 384 cm2 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "If a man can cover 20 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\\nOptions:\\n(A) 288\\n(B) 162\\n(C) 220\\n(D) 270\\n(E) 122 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "20 m/s = 20 * 18/5 kmph\\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\\nDistance = speed * time = 20 * 18/5 * 15/4 km = 270 km. The answer: (D).",
"from": "gpt"
}
] |
Subsets and Splits